PSLE A shop is having a book sale. The 1st book is at 15% discount. The 2nd book is at 35% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Abi's books were priced at $7 and $22. How much did she pay for them?
- Paul paid a total of $35.55 for his two books. He paid $6.95 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $22 |
100% $7 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 22
=
85100 x 22
= $18.70
Selling price of 2nd book
= 65% x 7
=
65100 x 7
= $4.55
Total amount that Abi paid
= 18.70 + 4.55
= $23.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.95 |
1 u |
$35.55 |
(b)
Sale price of the 1st book = 1 u + 6.95
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 6.95 + 1 u
= 2 u + 6.95
2 u + 6.95 = 35.55
2 u = 35.55 - 6.95
2 u = 28.60
1 u = 28.60 ÷ 2 = 14.30
Sale price of the 2nd book = $14.30
65% of the price = $14.30
100% of the price =
14.3065 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $23.25; (b) $22